Question #47322

a particle moves along the side of a square of length 'l' starting from A and reaches the opposite corner C by travelling from A to B and from B to C.if the time taken is 't',the average velocity of the particle is?
1

Expert's answer

2014-10-01T00:47:22-0400

Answer on Question #47322, Physics, Mechanics | Kinematics | Dynamics

Question:

a particle moves along the side of a square of length 'l' starting from A and reaches the opposite corner C by travelling from A to B and from B to C. if the time taken is 't', the average velocity of the particle is?

Answer:

Average velocity equals:


va=St|\overrightarrow{v_a}| = \frac{S}{t}


where SS is total displacement, tt is total time.

Total displacement equals (using Pythagorean theorem):


S=l2+l2=2lS = \sqrt{l^2 + l^2} = \sqrt{2}lva=2lt|\overrightarrow{v_a}| = \frac{\sqrt{2}l}{t}


Answer: 2lt\frac{\sqrt{2}l}{t}

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